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• W2314962802 abstract "PreviousNext No AccessSEG Technical Program Expanded Abstracts 20092D/3D Elastic model up‐scaling for the wave equation based on non‐periodic homogenizationAuthors: Yann CapdevilleLaurent GuillotJean‐Jacques MarigoYann CapdevilleInst. de Physique du Globe de Paris, CNRSSearch for more papers by this author, Laurent GuillotInst. de Physique du Globe de Paris, CNRSSearch for more papers by this author, and Jean‐Jacques MarigoUniv. Paris 6Search for more papers by this authorhttps://doi.org/10.1190/1.3255387 SectionsSupplemental MaterialAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract When considering numerical acoustic or elastic wave propagation in media containing small heterogeneities with respect to the minimum wavelength of the wavefield, being able to upscale physical properties (or homogenize them) is valuable, for mainly two reasons: first, replacing the original discontinuous and very heterogeneous media by a smooth and more simple one, is a judicious alternative to the necessary fine and difficult meshing of the original media required by many wave equation solvers; second, it helps to understand what properties of a medium are really “seen” by the wavefield propagating through, which is an important aspect in an inverse problem approach. We present here a solution to solve this up‐scaling problem for non‐periodic complex media with rapid variations in all directions based an a non‐periodic homogenization procedure. We first present a pedagogical introduction to non‐periodic homogenization in 1D, allowing to find the effective wave equation and effective physical properties of the wave equation in a highly heterogeneous medium. It can be extended from 1D to a higher space dimension. This development can be seen as an extension of the classical two‐scale periodic homogenization theory applied to the wave equation for non‐periodic media. To validate this development, we then present two examples of wave propagation in complex models: a geometrically square model with random heterogeneities, and the Marmousi2 model. A reference solution is computed with the Spectral Element Method with meshes honoring all interfaces. Furthermore We compare the results obtained in the homogenized model and in a low‐pass filtered model with respect to the reference solution.Permalink: https://doi.org/10.1190/1.3255387FiguresReferencesRelatedDetails SEG Technical Program Expanded Abstracts 2009ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2009 Pages: 4338 publication data© 2009 Copyright © 2009 Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryPublished: 14 Oct 2009 CITATION INFORMATION Yann Capdeville, Laurent Guillot, and Jean‐Jacques Marigo, (2009), 2D/3D Elastic model up‐scaling for the wave equation based on non‐periodic homogenization, SEG Technical Program Expanded Abstracts : 2607-2611. https://doi.org/10.1190/1.3255387 Plain-Language Summary PDF DownloadLoading ..." @default.
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• W2314962802 title "2D/3D Elastic model up‐scaling for the wave equation based on non‐periodic homogenization" @default.
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